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Towards a factored analysis of legged locomotion modelsIn Proceedings of the 2003 IEEE International Conference on Robotics & Automation (14-19 September 2003), pp. 37-44.
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AbstractIn this paper, we report on a new stability analysis for hybrid legged locomotion systems based on factozation of return maps. We apply this analysis to a family of models of the Spring Loaded Inverted Pendulum (SLIP) with different leg recirculation strategies. We obtain a necessary condition for the asymptotic stability of those models, which is formulated as an exact algebraic expression despite the non-integrability of the SLIP dynamics. We outline the application of this analysis to other models of legged locomotion and its importance for the stability of legged robots and animals.
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